Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
36
84
180
381
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1
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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2
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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3
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
Solution |
4
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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5
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
Solution |
6
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A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (-4) = 12 Total outcome of 2 head and 1 tail = 23 = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 |
7
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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8
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 |
9
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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10
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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